Answer:
.
Step-by-step explanation:
The given infinite series is
.
The first term of this series is
.
The common ratio is
.
.
The sum of this infinite series is given by the formula,

We now substitute all the above values in to this formula obtain,

This implies that,

This simplifies to,

.
The correct answer is C.
Answer:
Her new balance = - 92.34
Step-by-step explanation:
First find out what the check did.
She had $63.44 in her account. Her check caused her to be in the whole
63.44 - 186.56 = -123.12
Now she deposited 1/4 of that amount.
- 123.12 + (1/4)(123.12) = - 123.12 + 30.78
Her new balance = - 92.34
Answer:
<4= 164
Step-by-step explanation:
the sum of any 2 angles of a triangle is equal to the exterior linear angle of the triangle
<1+<2=<4
8x+9+5x+12=14x+10
13x+21=14x+10
21=x+10
11=x
<4=14x+10
<4=14(11)+10
<4=154+10
<4= 164